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Abstract
The nonlinear bending behavior of nanocomposite laminated plates with negative Poisson’s ratios (NPR) is reported. Each ply of the plate is made of carbon nanotube-reinforced composites (CNTRCs) and may have different CNT volume fractions and the CNTRC plies are arranged in the thickness direction in a piece-wise functionally graded pattern. The plate is supposed to be rested on a two-parameter elastic foundation and is exposed in a thermal environment. The temperature-dependent material properties of the CNTRCs are evaluated using an extended Voigt (rule of mixture) model. The governing equations for the nonlinear bending of FG-CNTRC laminated plates are based on Reddy’s third order shear deformation plate theory and solved by using a two-step perturbation approach. Analytical solutions are obtained which include the geometrical nonlinearity in the von Kármán sense, the thermal effects and the plate-foundation interaction. The effect of NPR on the nonlinear bending responses of FG-CNTRC laminated plates under different loading conditions are investigated comparatively according to the graphical results. It is explicitly shown that NPR has a significant effect on the nonlinear bending responses of CNTRC laminated plates.
Disclosure statement
The authors declare that there are no conflicts of interests with publication of this work.
Funding
This study was supported by the National Natural Science Foundation of China under Grant 51779138. The first author is grateful for this financial support. The second and third authors are also grateful for the supports from the Science Research Plan of Shanghai Municipal Science and Technology Committee under Grant 18DZ1205603, and the Innovation Program of Shanghai Municipal Education Commission under Grant 14ZZ027.